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|(a,b,c),(b,c,a),(c,a,b)| =...

`|(a,b,c),(b,c,a),(c,a,b)| =`

A

a+b+c+abc

B

`a^(2) + b^(2) + c^(2) + ab + bc + ca`

C

`3abc - a^(3) - b^(3) - c^(3)`

D

`a^(3) + b^(3) + c^(3) - 3abc`

Text Solution

Verified by Experts

The correct Answer is:
C
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KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 9-Mathematics
  1. The value of p such that the vectors hat(i) + 3hat(j) - 2hat(k), 2hat(...

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  2. |(a,b,c),(b,c,a),(c,a,b)| =

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  3. If A = [[1,1,1],[1,1,1],[1,1,1]], A^(2) =

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  4. If omega is a cube root of unity |(1, omega, omega^(2)),(omega, omega^...

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  5. The roots of the equation |(x-1,1,1),(1,x-1,1),(1,1,x-1)| = 0 are

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  6. The inverse of [[3, -2],[-7,5]] is

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  7. From the matrix equation AB = AC we can conclude B = C provided

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  8. Let A = [[1,2],[0,1]]. Then A^(n) =

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  9. In a triangle ABC if a = 2, B = 60^(@) and C = 75^(@), then b =

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  10. If tan^(-1) 2x + tan^(-1) 3x = (pi)/(4), then x =

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  11. The general solution of tan 2 theta tan theta = 1 is theta =

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  12. cos^(-1).(2)/(sqrt(5)) + tan^(-1).(1)/(3) =

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  13. (1 + i)^(5) + (1 - i)^(5) =

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  14. The smallest integer n such that ((1 + i)/(1-i))^(n) = 1 is

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  15. cos[tan^(-1) {sin(cot^(-1) x)}] =

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  16. The general value of theta which satisfies the equation (cos theta + i...

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  17. The length of the tangent from the point (1, -4) to the circle 2x^(2) ...

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  18. For the circles x^(2) + y^(2) - 2x + 3y + k = 0 and x^(2) + y^(2) + 8x...

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  19. The equation to the parabola with focus (2, 0) and the directrix x + 3...

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  20. If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

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